簡約 20(e^{-((0.005)/(0.004))})

解

簡約

20 (e^{- (\frac{0.005}{0.004})})

5.73009 \dots

解答ステップ

20 (e^{- (\frac{0.005}{0.004})})

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= 20 \cdot \frac{1}{e ^{\frac{0.005}{0.004}}}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 20}{e ^{\frac{0.005}{0.004}}}

数を乗じる:

1 \cdot 20 = 20

= \frac{20}{e ^{\frac{0.005}{0.004}}}

e^{\frac{0.005}{0.004}} = 3.49034 \dots

= \frac{20}{3.49034 \dots}

数を割る:

\frac{20}{3.49034 \dots} = 5.73009 \dots

= 5.73009 \dots